New inequalities between the inverse hyperbolic tangent and the analogue for corresponding functions

Chen, Xiao-Diao; Nie, Liuwang; Huang, Wangkang

doi:10.1186/s13660-020-02396-8

Cited by 8 publications

(2 citation statements)

References 14 publications

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“…To prove (63) set z = α/2 and z = i −β/2 in (7), respectively, combine according to the Binet form, simplify and make use of (47). To prove (64) set z = α 3 /5 and z = i −β 3 /5 in (7), respectively, combine according to the Binet form, simplify and make use of (48). Identity (65) comes from setting z = α r /L r and z = β r /L r , in turn, in (9) and making use of (49).…”

Section: The Main Resultsmentioning

confidence: 99%

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A post-occupancy evaluation of students' halls of residence in Obafemi Awolowo University, Ile-Ife, Nigeria

Adegoke

Ajayi

Oladokun

et al. 2020

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PurposeStudents are the hub of activities in an academic environment, and their satisfaction with the performance of educational facilities cannot be overemphasised. Therefore, this study evaluated the post-occupation of students' halls of residence in Obafemi Awolowo University (OAU), Ile-Ife, Nigeria with a view to enhancing effective management of educational facilities.Design/methodology/approachData were collected from 245 students who were selected using simple random sampling technique. The study adopted descriptive statistical tools such as mean, standard deviation and Relative Importance Index (RII); the inferential statistical tools adopted were independent-samples t-test and Kendall Tau's correlation.FindingsThe results revealed that both genders were fairly satisfied with physical attributes, indoor environmental quality (IEQ) and social factors; while the female students were also fairly satisfied with the supporting service, the male students were fairly dissatisfied. Also, supporting services and IEQ influenced the levels of satisfaction of both genders.Practical implicationsThis study provides information which can help the management of the University and other comparative educational institutions in the proper management of students' halls of residence.Originality/valueThis study has provided insight into the satisfaction of student occupants with halls of residence based on gender differentiation.

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Section: The Main Resultsmentioning

confidence: 99%

“…Identity (65) comes from setting z = α r /L r and z = β r /L r , in turn, in (9) and making use of (49). To prove (66) set z = α/ √ 5 and z = −β/ √ 5 in (7), respectively, combine according to the Binet form, simplify and make use of (52). Finally, proceed as before with z = α/2 and z = β/2 in (7), respectively.…”

Section: The Main Resultsmentioning

confidence: 99%